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What is the Least Common Multiple of 13528 and 13547?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 13528 and 13547 is 9645464.

LCM(13528,13547) = 9645464

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Least Common Multiple of 13528 and 13547 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13528 and 13547, than apply into the LCM equation.

GCF(13528,13547) = 19
LCM(13528,13547) = ( 13528 × 13547) / 19
LCM(13528,13547) = 183263816 / 19
LCM(13528,13547) = 9645464

Least Common Multiple (LCM) of 13528 and 13547 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13528 and 13547. First we will calculate the prime factors of 13528 and 13547.

Prime Factorization of 13528

Prime factors of 13528 are 2, 19, 89. Prime factorization of 13528 in exponential form is:

13528 = 23 × 191 × 891

Prime Factorization of 13547

Prime factors of 13547 are 19, 23, 31. Prime factorization of 13547 in exponential form is:

13547 = 191 × 231 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 13528 and 13547.

LCM(13528,13547) = 23 × 191 × 891 × 231 × 311
LCM(13528,13547) = 9645464